Modular Forms and Fermat’s Last Theorem

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Release : 2013-12-01
Genre : Mathematics
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Book Rating : 744/5 ( reviews)

Modular Forms and Fermat’s Last Theorem - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modular Forms and Fermat’s Last Theorem write by Gary Cornell. This book was released on 2013-12-01. Modular Forms and Fermat’s Last Theorem available in PDF, EPUB and Kindle. This volume contains the expanded lectures given at a conference on number theory and arithmetic geometry held at Boston University. It introduces and explains the many ideas and techniques used by Wiles, and to explain how his result can be combined with Ribets theorem and ideas of Frey and Serre to prove Fermats Last Theorem. The book begins with an overview of the complete proof, followed by several introductory chapters surveying the basic theory of elliptic curves, modular functions and curves, Galois cohomology, and finite group schemes. Representation theory, which lies at the core of the proof, is dealt with in a chapter on automorphic representations and the Langlands-Tunnell theorem, and this is followed by in-depth discussions of Serres conjectures, Galois deformations, universal deformation rings, Hecke algebras, and complete intersections. The book concludes by looking both forward and backward, reflecting on the history of the problem, while placing Wiles'theorem into a more general Diophantine context suggesting future applications. Students and professional mathematicians alike will find this an indispensable resource.

Modular Forms and Fermat’s Last Theorem

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Author :
Release : 1997
Genre : Mathematics
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Book Rating : 092/5 ( reviews)

Modular Forms and Fermat’s Last Theorem - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modular Forms and Fermat’s Last Theorem write by Gary Cornell. This book was released on 1997. Modular Forms and Fermat’s Last Theorem available in PDF, EPUB and Kindle. A collection of expanded versions of lectures given at an instructional conference on number theory and arithmetic geometry held at Boston University. The purpose of the conference, and indeed this book, is to introduce and explain the many ideas and techniques used by Wiles in his proof, and to explain how his result can be combined with Ribet's theorem and ideas of Frey and Serre to show, at long last, that Fermat's Last Theorem is true. The book begins with an overview of the complete proof, theory of elliptic curves, modular functions, modular curves, Galois cohomology, and finite group schemes. In recognition of the historical significance of Fermat's Last Theorem, the volume concludes by reflecting on the history of the problem, while placing Wiles' theorem into a more general Diophantine context suggesting future applications.

Elliptic Curves, Modular Forms & Fermat's Last Theorem

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Release : 1997
Genre : Mathematics
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Book Rating : /5 ( reviews)

Elliptic Curves, Modular Forms & Fermat's Last Theorem - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Elliptic Curves, Modular Forms & Fermat's Last Theorem write by John Coates. This book was released on 1997. Elliptic Curves, Modular Forms & Fermat's Last Theorem available in PDF, EPUB and Kindle. These proceedings are based on a conference at the Chinese University of Hong Kong, held in response to Andrew Wile's conjecture that every elliptic curve over Q is modular. The survey article describing Wile's work is included as the first article in the present edition.

Fermat’s Last Theorem for Amateurs

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Release : 2008-01-21
Genre : Mathematics
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Book Rating : 928/5 ( reviews)

Fermat’s Last Theorem for Amateurs - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fermat’s Last Theorem for Amateurs write by Paulo Ribenboim. This book was released on 2008-01-21. Fermat’s Last Theorem for Amateurs available in PDF, EPUB and Kindle. In 1995, Andrew Wiles completed a proof of Fermat's Last Theorem. Although this was certainly a great mathematical feat, one shouldn't dismiss earlier attempts made by mathematicians and clever amateurs to solve the problem. In this book, aimed at amateurs curious about the history of the subject, the author restricts his attention exclusively to elementary methods that have produced rich results.

Fermat's Last Theorem

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Release : 2013-11-01
Genre : Mathematics
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Book Rating : 485/5 ( reviews)

Fermat's Last Theorem - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fermat's Last Theorem write by Takeshi Saitō. This book was released on 2013-11-01. Fermat's Last Theorem available in PDF, EPUB and Kindle. This book, together with the companion volume, Fermat's Last Theorem: The Proof, presents in full detail the proof of Fermat's Last Theorem given by Wiles and Taylor. With these two books, the reader will be able to see the whole picture of the proof to appreciate one of the deepest achievements in the history of mathematics.